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Simplifying 0.16(y + -7) + 0.06y = 0.20y + -1.2 Reorder the terms: 0.16(-7 + y) + 0.06y = 0.20y + -1.2 (-7 * 0.16 + y * 0.16) + 0.06y = 0.20y + -1.2 (-1.12 + 0.16y) + 0.06y = 0.20y + -1.2 Combine like terms: 0.16y + 0.06y = 0.22y -1.12 + 0.22y = 0.20y + -1.2 Reorder the terms: -1.12 + 0.22y = -1.2 + 0.20y Solving -1.12 + 0.22y = -1.2 + 0.20y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.20y' to each side of the equation. -1.12 + 0.22y + -0.20y = -1.2 + 0.20y + -0.20y Combine like terms: 0.22y + -0.20y = 0.02y -1.12 + 0.02y = -1.2 + 0.20y + -0.20y Combine like terms: 0.20y + -0.20y = 0.00 -1.12 + 0.02y = -1.2 + 0.00 -1.12 + 0.02y = -1.2 Add '1.12' to each side of the equation. -1.12 + 1.12 + 0.02y = -1.2 + 1.12 Combine like terms: -1.12 + 1.12 = 0.00 0.00 + 0.02y = -1.2 + 1.12 0.02y = -1.2 + 1.12 Combine like terms: -1.2 + 1.12 = -0.08 0.02y = -0.08 Divide each side by '0.02'. y = -4 Simplifying y = -4
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